Answers
Answer:
10. A dice has 6 sides each from 1-6, rolling each time can give 6 different possible results, hence the chances of rolling a 2, 3, and 5 will be 1/6 respectively.
To roll a 2, 3, and 5 in order, which are independent events,
the required probability will be
= 1/6 x 1/6 x 1/6
= 1/216
11. Using Pythagoras theorem,
8² + B² = 15²
B =√161
=12.689
13. Area of trapezoid= (upper base+ lower base)(height)/2
= (16+23)(3)/2
= 58.5 m²
Answer:
Answers:
Question #10:
Rolling a die three times gives 6 · 6 · 6 possibilities this makes 216 possibilities in total. Rolling the die in the order 2, 3, 5 is only one so the answer is: [tex]\frac{1}{16}[/tex].
Question #11:
Since the triangle is a right triangle we can use the pythagorean theorem:
[tex]B^{2}[/tex] + [tex]8^{2}[/tex] = [tex]15^{2}[/tex]
Working backwards we get that B is equal to 225 minus 64 which gets the square root of 161 or [tex]\sqrt{161}[/tex].
Question #12:
First we can start with finding the area of the rectangle in the trapezoid:
3 · 16 = 48
Next the two right triangles. 21 - 16 = 5 That is the length of the additional two triangles. Dividing 5 by two gets the base of one of them, but if we don't divide it by two we will be able to solve for both at the same time:
3 · 5 = 15
[tex]\frac{15}{2}[/tex] = 7.5
7.5 + 48 = 55.5
Related Questions
Simplify: ( ++)2 + ( −+)2 + ( +−)2
Answers
Answer:
[tex]-2[/tex]
Step-by-step explanation:
[tex]( ++)2 + ( -+)2 + ( +-)2[/tex]
[tex]++ = +[/tex]
[tex]-+ = -[/tex]
[tex]+- = -[/tex]
[tex]( +)2 + ( -)2 + ( -)2[/tex]
[tex]2-2-2[/tex]
[tex]=-2[/tex]
If y − 4 = 2x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? Which order pair is it? {(2, 1), (4, 2), (6, 3)} {(1, 2), (2, 4), (3, 6)} {(4, 0), (6, 1), (8, 2)} {(0, 4), (1, 6), (2, 8)}
Answers
Answer:
the fourth set
Step-by-step explanation:
if you plug this equation into desmos and look at the x-values, you will see that the fourth set is the only one with points that make this equation true.
Answer:
D
Step-by-step explanation:
Solve the system of equations. y=x^2-5 y=2x+3
Answers
None of these answers work. I believe you recorded the equations incorrectly.
graph of the equations below
The triangles shown below must be congruent.
A. True
B. False
Answers
Answer:
true
Step-by-step explanation:
Rewrite the equation by completing the square.
x^2 + 2x – 48 = 0
Answers
Answer:
(x+1)^2 = 49
x = 6 x = -8
Step-by-step explanation:
x^2 + 2x – 48 = 0
Add 48 to each side
x^2 + 2x =48
Take the coefficient of x
2
Divide by 2
2/2=1
Square it
1^2 =1
x^2 + 2x +1=48+1
x^2 +2x+1 = 49
(x+1)^2 = 49
Take the square root of each side
sqrt((x+1)^2) =±sqrt( 49)
x+1 = ±7
Subtract 1 from each side
x+1-1 = -1 ±7
x = -1+7 x = -1 -7
x = 6 x = -8
HELP ASAP NEED HELPPP
Answers
x + 73 + 62 + 66 + x + 57 = 360
2x + 258 = 360
2x = 102
x = 51
A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation h(t) = –16t2 + 48t + 190. Approximately when will the projectile hit the ground? 1.5 seconds 3.2 seconds 5.3 seconds 6.2 seconds
Answers
Hello! :)
—————— ☆ ☆———————————————————————————-
Answer:
5.3 seconds
Step-by-step explanation:
The answer is 5.3 seconds because
If you solve this equation than you will see how it is 5.3 seconds.
Equation: [tex]h (t) = -16t ^ 2 + 48t + 190 [/tex]
Also if you graph it, the answer will be 5.3 seconds
—————— ☆ ☆————————————————————————————
Hope this helps! :)
By: BrainlyMember ^-^
Good luck!
Answer:
^ as the other person said, it's 5.3
Step-by-step explanation:
edge
For a class project, a teacher cuts out 15 congruent
circles from a single sheet of paper that measures 6
inches by 10 inches. How much paper is wasted?
O (60 - 152) square inches
O 150 square inches
O 45 square inches
O (60 - ) square inches
Answers
Answer:
its 60-15(pie) sq inches
Step-by-step explanation:
Express as a trinomial (2x-5) (3x-8)
Answers
Answer:
6x^2 -31x +40
Step-by-step explanation:
2x * 3x + 2x * - 8 + -5 * 3x -5 * -8 Distributive property
6x^2 -16x -15x + 40 Math
6x^2 -31x +40 Answer
The revenue, in dollars, of a company that produces jeans can be modeled by 2x2+17x−175. The cost, in dollars, of producing the jeans can be modeled by 2x2−3x−125. The number of pairs of jeans that have been sold is represented by x. If the profit is the difference between the revenue and the cost, which expression can be used to find profit and what is that profit when 75 pairs of jeans are sold? 20x−50; $500 20x−50; $1,450 20x+50; $1,550 20x+50; $5,250
Answers
Answer: $1450
The profit that is gained from the production and selling of the jeans is given to be calculated through the the equation,
P = 20x - 50
For 75 jeans, we just have to substitute 75 to the x's of the equation. This then becomes,
P = 20(75) - 50 = 1450
Thus, the company will make a profit of $1450 by production of 75 jeans.
Step-by-step explanation:
The company will make a profit of $1450 by the production of 75 jeans.
Cost functions and revenueThe profit that is gained from the production and selling of the jeans is modeled by the equation;
P = 20x - 50
If 75 jeans are produced, substitute 75 to represent the value of x in the equation.
P = 20(75) - 50 = 1450
Hence, the company will make a profit of $1450 by the production of 75 jeans.
Larn more on functions and values here: https://brainly.com/question/10439235
Find the next 4 terms of this Fibonacci sequence -x, x+y, y
Answers
Answer:
see explanation
Step-by-step explanation:
Any term in a Fibonacci sequence is the sum of the previous 2 terms.
Given the first 3 terms then
a₄ = a₂ + a₃ = x + y + y = x + 2y
a₅ = a₃ + a₄ = y + x + 2y = x + 3y
a₆ = a₄ + a₅ = x + 2y + x + 3y = 2x + 5y
a₇ = a₅ + a₆ = x + 3y + 2x + 5y = 3x + 8y
Thus the next four terms are
x + 2y, x + 3y, 2x + 5y, 3x + 8y
the number 3^13 - 3^10 is divisible by
Answers
Explanation:
Since 3^13 is divisible by 3 and 3^10 is also divisible by 3 which is an odd number
But when an odd number substract an odd number it became even
Example: 9(odd) - 3(odd) = 8(even)
And an even number is always divisible by 2 so 2 is the answer
A polynomial is factored using algebra tiles. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 8 tiles are in the Product spot in 2 columns with 4 rows: 1 is labeled + x squared, 1 is labeled + x, the 3 tiles below + x squared are labeled negative x, and the 3 tiles below the + x tile are labeled negative. What are the factors of the polynomial? (x − 1) and (x + 3) (x + 1) and (x − 3) (x − 2) and (x + 3) (x + 2) and (x − 3)
Answers
Answer:
The factors of the polynomial are:
(x + 1) and (x - 3).
Step-by-step explanation:
Consider the image attached.
The upper tiles shows: (x + 1)
And the left tiles shows: (x - 3)
So, the factors of the polynomial are:
(x + 1) and (x - 3).
Answer:
x+1 and x -3
Step-by-step explanation:
A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag the possibility of not drawing a black marbles is? The probability of drawing a red marble is?
Answers
Answer:
3/10
Step-by-step explanation:
as the total number of marbles is 10 and the red marbles are 3 so the probability of drawing red marble will be 3/10.
Answer:
The possibility of not drawing a black marble= 4/5
The probability of drawing a red marble = 3/10
Step-by-step explanation:
Blue marbles = 5
Black marbles = 2
Red marbles = 3
Total marbles = 5 + 2 + 3 = 10
The possibility of not drawing a black marble = No of (blue + red) marbles/ Total marbles = ((5+3)/10 = 8/10 = 4/5
The probability of drawing a red marble = No of red marbles/Total marbles =3/10
NEED HELP ASAP WHOEVER ANSWERS THE QUESTION RIGHT FIRST GETS THE MOST BRAINLIEST
Answers
Answer:
150
Step-by-step explanation:
360 - (130 + 80) = 150
Answer:
150
Step-by-step explanation:
130+80= 210
360-210= 150
so it is 150
Solve the equation. Be sure to check your proposed solution by substituting it for the variable in the original equation 2(3x-3)-5-2(x-3)+ 15 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Type an integer or a simplified fraction.) O B. The solution set is {x x is a real number O C. The solution set is ø A chef has 10 brands of hot sauce. In how many ways can the chef pick 3 to mix into a gumbo? | different ways There are In order to start a small business, a student takes out a simple interest loan for $3000.00 for 9 months at a rate of 11.75% a. How much interest must the student pay? b. Find the future value of the loan a. The amount of interest is S (Round to the nearest cent as needed) b. The future value is $ (Round to the nearest cent as needed.) Use an algebraic equation to find the measure of each angle that is represented in terms of x. 2x+30° 2x+40 m & 2x+30° m & 2x+ 40°=
Answers
Answer and Step-by-step explanation:
(i) The solution for equation: 2(3x-3) - 5 = 2(x-3) + 15 is:
2(3x-3) - 5 = 2(x-3) + 15
6x - 6 - 5 = 2x - 6 +15
6x - 2x = - 6 + 15 + 6 + 5
4x = 20
x = 5
The solution x is a real number and equals 5.
(ii) Since the order of hot sauce that goes into the gumbo doesn't matter, use combination:
[tex]C^{10}_{3}[/tex] = [tex]\frac{10!}{3! (10-3)!}[/tex]
[tex]C^{10}_{3}[/tex] = [tex]\frac{10.9.8.7!}{3.2.1.7!}[/tex]
[tex]C^{10}_{3}[/tex] = 120
There are 120 ways of picking 3 sauces out of 10.
(iii) Interest is calculated as:
interest = principal*rate*time
Principal is the value of the loan;
Rate is how much it will increase;
Time is for how long the loan will be taken. In this case, time is 9/12 since it was for months;
Interest = 3000 * [tex]\frac{11.75}{100}*\frac{9}{12}[/tex]
Interest = 264.37
The interest the student will pay will be: $264.37.
Future Value = principal + interest
future value = 3000 + 264.37
future value = 3264.37
The future value for the student is $3264.37.
(iv) As shown in the image in the attachment, the sum of the equations equals 90:
2x + 30 + 2x + 40 = 90
4x = 20
x = 5
2x + 30 = 2.5 + 30 = 402x + 40 = 2.5 + 40 = 50The angles are 40° and 50°
Help plz!!! First person to answer with a step by step explanation will get brainiest!!!
Suppose all of the points in the figure are equidistant. Start with your compass point on point B. To create a perpendicular bisector of be open the compass to _____
Answers
Answer: Open the compass to point D
Step-by-step explanation: You will draw an arch with a radius BD so it will be able to intersect above and below with another arc of the same radius drawn with the compass point on point D
Samatha received $500 as a graduation present and decides to invest it in an account that is
compounded continuously. How much will be in the account at the end of 5 years if the interest
rate is 3%?
Answers
Answer:
Step-by-step explanation:
m= month
3÷100= 0.03
0.03×500=$15
$15/m
$15×5×12=$900
$500-$900=
Answer: -$400
PLS EXPLAINIIf y = 16x, which table shows the values of y for different values of x?
x 0 2 4
y 0 18 20
x 0 2 4
y 0 8 4
x 0 2 4
y 0 32 64
x 0 2 4
y 0 16 32
Answers
Answer:
Step-by-step explanation:
I think it's B but I'm not 100% sure
x 0 2 4
y 0 32 64
Explanation
When x = 0
y = 16 • 0 = 0
When x = 2
y = 16 • 2 = 32
When x = 4
y = 16 • 4 = 64
<~>\_/<~> Ho_odini <~>\_/<~>
A hockey stick is regularly $54.99, but is on sale for 20% off. What is the price of the hockey stick, including 13% tax?
Answers
Answer:
$49.71
Step-by-step explanation:
Take $54.99 - 20% to get $43.99 add 13% and get $49.71
An initial deposit of $1200 is put into an account that earns 5% interest compounded annually. Each year year an additional of $1200 is added to the account. Whats the value of the account after the 10th deposit if no withdraws or additional deposits are made.
Answers
Answer:
$1788
Step-by-step explanation:
1200 x 0.07 = 84
84 × 7 = 588
588 + 1200 = 1788
The value of the account after the 10th deposit if no withdraws or additional deposits are made should be $15,093.47.
Calculation of the value:Since
The initial deposit is $1.200
The rate of interest is 5%
Now the future value be like
[tex]= (1,200 \times (1 + 0.05)^{9} - 1) \div 0.05) \times (1 + 0.05) + 1,200\\\\= 1,200 \times (1.5513 - 1) \div 0.05) \times (1 + 0.05) + 1,200\\\\= (1,200 \times 11.0265) \times (1.05) + 1,200[/tex]
= 13893.4711 + 1,200
= $15,093.47
hence, The value of the account after the 10th deposit if no withdraws or additional deposits are made should be $15,093.47.
Learn more about rate here: https://brainly.com/question/14835033
Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus 3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20 Which justifies Step 6 of his work? the addition property of equality the identity property of addition the multiplication property of equality the identity property of multiplication
Answers
Answer:
Identity property of multiplication
Step-by-step explanation:
Given
Step 5: 1x = 20
Step 6: x = 20
Required
Property that justifies step 6
It should be noted that step 6 is a result of step 5.
So, basically the question is asking for the property applied on step 5.
Given that step 5 is: 1x = 20
The property applied is the identity property of multiplication.
This is so because this property states that when 1 is multiplied to an equation, the result remains the same.
Hence;
When 1 is multiplied to x (i.e. 1x), the result is still x.
So, 1x = 20 at step 5 gives x = 20 at step 6
Answer: Option B is the correct answer.
The identity property of addition
A rectangular prism has a width of 3 inches, and height of 4 inches, and a width of 5 inches. if the height is is doubled, what happens to the volume?
Answers
Answer:
The volume doubles to 120
Step-by-step explanation:
Volume of Rectangular Prism Formula: V = lwh
Step 1: Find volume of given lengths
V = 3(4)(5) = 60 in²
Step 2: Find volume when we double h
4(2) = 8
V = 3(8)(5) = 120 in²
Step 3: Divide the 2 numbers to find the ratio
120/60 = 2, or double the amount.
PLEASE HELP ILL MARK YOU BRAINLIEST Given the expression: 6x10 − 96x2 Factor the entire expression completely. Show the steps of your work.
Answers
Answer:
6x¹⁰ - 96x²
6x²(x⁸ - 16)
B) 6x²(x⁸ - 16)
6x²[(x⁴)² - 4²]
6x²[(x⁴ - 4)(x⁴ + 4)]
6x²(x⁴ + 4)[(x²)² - 2²]
6x²(x⁴ + 4)(x² - 2)(x² + 2)
Answer:
Step-by-step explanation:
Part A: The rewritten expression created by factoring out the greatest common factor is 6x2(x8 – 16).
Part B: The completely factored expression is 6x2(x4 + 4) (x2 + 2) (x2 – 2).
My work for Part B:
Step 1: Using the expression from Part A, we just simplify the inside of the parentheses as much as possible by using the difference of two perfect squares pattern:
6x2(x4 + 4) (x2 + 2) (x2 – 2).
help pls thx guys photo attached
Answers
Answer:
x = 18
A = 110
Step-by-step explanation:
Angles A and B are supplementary angles so they add to 180 degrees
A + B = 180
5x+20 + 9x -92 = 180
Combine like terms
14x -72 = 180
Add 72 to each side
14x-72+72 = 180+72
14x = 252
Divide each side by 14
14x/14 = 252/14
x =18
A = 5x+20
= 5*18 +20
=90 +20
= 110
9. A water glass can hold 2/9 of a litre of water. How many glasses of water can be filled with a 3 litre bottle?
Answers
Answer:
13.5 glasses of water
Step-by-step explanation:
If:
1 water glass can hold 2/9 of a litre
x water glasses can hold 3 litres.
Therefore, expressing it as a litre to glass ratio, we have::
[tex]\dfrac{2/9}{1}=\dfrac{3}{x} \\\dfrac{2}{9}x=3\\$Divide both sides by$ \dfrac{2}{9}\\x=3 \div \dfrac{2}{9}\\x=3 \times \dfrac{9}{2}\\\\x=13.5[/tex]
Therefore, 13.5 glasses of water can be filled with a 3 litre bottle.
The grade of a road is its slope written as a percent. A warningsign must be posted if a section of road has a grade of at least 8% and ismore than 750 feet long.a. Interpret and Apply A road rises 63 feet over a horizontal distanceof 840 feet. Should a warning sign be posted? Explain your thinking.b. Critical Thinking The grade of a section of road that stretches over ahorizontal distance of 1000 feet is 9%. How many feet does the roadrise over that distance?
Answers
Answer:
(a)Grade =7.5% (No warning sign is needed)
(b)Rise =90 feet
Step-by-step explanation:
[tex]\text{Slope = }\dfrac{Rise}{Run}[/tex]
(a)
Rise = 63 feet
Run (Horizontal distance) = 840 feet.
[tex]\text{Slope = }\dfrac{63}{840}=0.075\\\\$Grade=Slope \times 100 = 0.075 \times 100 = 7.5\%[/tex]
A warning sign should not be posted since its grade is less than 8%.
(b)
Grade = 9%
Run (Horizontal distance) = 1000 feet.
Recall that:
Grade = Slope X 100
[tex]9 =\dfrac{Rise}{1000} \times 100\\\\9 =\dfrac{Rise}{10}\\\\$Rise = 9 \times 10 \\$Rise=90 feet[/tex]
The road rises 90 feet over a distance of 1000 feet.
The vertex form of the equation of a parabola is y = = 6(x-2)²-8.
What is the standard form of the equation?
A. y = 12x2 - 6x + 8
B. y = 6x2 - - 24x + 16
c. y = 6x2 - 4x + 4
O D. y = 12x2 - 12x + 16
Answers
Answer:
B. y = 6x^2 - 24x + 16.
Step-by-step explanation:
y = 6(x - 2)^2 - 8
y = 6(x^2 -4x + 4) - 8
y = 6x^2 - 24x + 24 - 8
y = 6x^2 - 24x + 16.
5p coins weigh approximately 3 grams.
What would be the weight of £5 worth of 5p coins?
Give your answer in kg.
Answers
Answer: 0.3 kg
Step-by-step explanation:
£5 = 500p
500p ÷ 5 = 100
100 x 3 = 300 grams
300 ÷ 1000 = 0.3 kg
Hope this helps :)
Answer:
Hello!
_______________________
1 coin = 5p =20
5 x 20=100
100 x 3=300
0.3 kg
Step-by-step explanation: Multiply.
Hope this helped you!
If 4 is added to three quarter of a number and the result is 1. Find the number.
Answers
Answer:
-4Step-by-step explanation:
Let the number be X
According to Question,
[tex]4 + \frac{3}{4} x = 1[/tex]
[tex]4 + \frac{3}{4} x - 4 = 1 - 4[/tex]
[tex] \frac{3}{4} x = - 3[/tex]
[tex]x = \frac{ - 3 \times 4}{3} [/tex]
[tex]x = \frac{ - 12}{3} [/tex]
[tex]x = - 4[/tex]
Hope this helps...
Good luck on your assignment...